While helping disclaimer with the differential equation problem, I ran into this integral. I am having a hard time with it. So please help.
Here's another from of an answer:
http://wims.unice.fr/wims/wims.cgi?session=YN60ADEE97.3〈=en&cmd=reply&module =tool%2Fanalysis%2Ffunction.en&fn=%281%2Bx%2Bx%5E2 %29%2F%281-x-%28x%5E2%29-x%5E3%29&substitute=¢er=0&dev_order=5&show=int formal&ileft=&iright=&left=&right=&lower=&upper=&p left=-1&pright=1&num_precision=12&format=t
although still not very helpful..